Special Toeplitz Operators on n-Dimensional Generalized Hartogs Triangles

摘要

Abstract For given p:=(p1,…,pn)∈(Z+)ndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${textbf {p}}:=(p_1, ldots , p_n) in (mathbb {Z}^{+})^n$$end{document}, the n-dimensional generalized Hartogs triangle is a bounded nonsmooth pseudoconvex domain defined by Hpn:={(z1,…,zn)∈Cn:|z1|p1<⋯<|zn|pn<1}.documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$begin{aligned} mathbb {H}_mathbf{{p}}^n:=big {(z_1,ldots ,z_n)in mathbb {C}^n: ,|z_1|^{p_1}